{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Visualize LR / Ridge / LASSO Regression\n",
    "\n",
    "- 任何线性回归算法，都要求模型输入（x）必须是**二维矩阵**，模型输出（y）必须是**一维矩阵**。\n",
    "- 简单说就是：维度的长度可以为1，但是必须有两个维度。\n",
    "- **模型输入**所具有的两个维度分别表示”**样本维度**“和”**特征维度**“。\n",
    "- 其中样本维度的长度就是样本个数，特征维度的长度就是特征的个数。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import Lasso, LinearRegression, Ridge\n",
    "from sklearn.metrics import r2_score\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "plt.rcParams['figure.figsize'] = (15, 5)\n",
    "plt.rcParams['image.interpolation'] = 'nearest'\n",
    "plt.rcParams['image.cmap'] = 'gray'\n",
    "plt.rcParams['axes.grid'] = True\n",
    "np.random.seed(42)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 单个特征\n",
    "\n",
    "- 以拟合简单的一元线性方程 y = 2 x + 3 为例，其特征个数就是1个。\n",
    "- 为了画图，我们让x取值为一个序列，这个序列的含义就是此特征的样本取值。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0f277e17d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Target Function: y = 2 * x + 3\n",
      "Predicted Function: y = 2.13932593269 * x + 1.27187145923\n"
     ]
    }
   ],
   "source": [
    "x = np.arange(0, 10, 0.1)\n",
    "\n",
    "y = 2 * x + 3\n",
    "y_observed = 10 * np.random.randn(*y.shape) + y\n",
    "\n",
    "# 拟合 x 与 y 之间的关系\n",
    "reg = LinearRegression(fit_intercept=True)\n",
    "reg.fit(x.reshape(-1, 1), y_observed)\n",
    "y_pred = reg.predict(x.reshape(-1, 1))\n",
    "\n",
    "\n",
    "plt.scatter(x, y, s=50, alpha=0.5, label=\"Ground Truth\")\n",
    "plt.scatter(x, y_observed, s=20, label=\"Observed GT\")\n",
    "plt.scatter(x, y_pred, color='r', marker=\"x\", s=50, label=\"Predicted\")\n",
    "plt.legend(fontsize=18)\n",
    "plt.show()\n",
    "print \"Target Function: y = 2 * x + 3\"\n",
    "print \"Predicted Function: y = {} * x + {}\".format(reg.coef_[0], reg.intercept_)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 多个特征\n",
    "\n",
    "- 如果我们拟合的是一个复杂的函数，这里以正弦函数为例。由于正弦函数是可以泰勒展开为多个幂函数的累加。\n",
    "- 下面的实验中，x 是原始自变量，由于三角函数的级数展开都是幂函数，我们将 x的各个幂函数视为不同的特征，共同用于预测。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0ef75aa6d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n_sample = 100\n",
    "\n",
    "# Raw Arguments\n",
    "x =  np.linspace(0, 2 * np.pi, n_sample)\n",
    "y = 10 * np.sin(np.array(x))\n",
    "y_observed = y + 2 * np.random.randn(n_sample)\n",
    "\n",
    "plt.plot(x, y, label='Ground Truth')\n",
    "plt.scatter(x, y_observed, s=7, color='g', label=\"Observed Ground Truth\")\n",
    "plt.legend(fontsize=13)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 特征太少时的拟合效果\n",
    "\n",
    "在只有三个特征（x, x^2）的时候，可以看到拟合的效果并不好。R2 Score 较低。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0ef75e4250>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 特征较少时\n",
    "data = np.array([x, x**2])\n",
    "data = np.transpose(data, axes=(1,0))\n",
    "reg = LinearRegression(fit_intercept=True)\n",
    "reg.fit(data, y_observed)\n",
    "y_pred = reg.predict(data)\n",
    "\n",
    "plt.plot(x, y, label='Ground Truth')\n",
    "plt.scatter(x, y_observed, s=7, color='g', label=\"Observed Ground Truth\")\n",
    "plt.scatter(x, y_pred, s=7, color='r', label='Predicted')\n",
    "plt.title(\"Features: [x, x^2]    R2 Score = {:.2f}\".format(reg.score(data, y)), size=16)\n",
    "plt.legend(fontsize=13)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 特征足够多时的拟合效果\n",
    "\n",
    "- 当特征数量已经从三个达到八个的时候，可以看到拟合效果已经非常好了，R2 Score 几乎满分。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0f26f838d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data = np.array([x, x**2, x**3, x**4, x**5, x**6, x**7, x**8])\n",
    "data = np.transpose(data, axes=(1,0))\n",
    "reg = LinearRegression(fit_intercept=True)\n",
    "reg.fit(data, y_observed)\n",
    "y_pred = reg.predict(data)\n",
    "\n",
    "plt.plot(x, y, label='Ground Truth')\n",
    "plt.scatter(x, y_observed, s=7, color='g', label=\"Observed Ground Truth\")\n",
    "plt.scatter(x, y_pred, s=7, color='r', label='Predicted')\n",
    "plt.title(\"Features: [x, x^2, x^3, x^4, x^5, x^6, x^7, x^8]   R2 Score = {:.2f}\".format(reg.score(data, y)), size=16)\n",
    "plt.legend(fontsize=13)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 特征过多时的拟合效果\n",
    "\n",
    "- 当特征数量激增到150个的时候，可以看到 y_pred 的点已经向 y_observed 强行拟合，与原本光滑的 y 正弦曲线差别过大。模型严重过拟合。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0ef5418790>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data = np.array([x ** i for i in range(1, 150)])\n",
    "data = np.transpose(data, axes=(1,0))\n",
    "reg = LinearRegression(normalize=True, fit_intercept=True)\n",
    "reg.fit(data, y_observed)\n",
    "y_pred = reg.predict(data)\n",
    "\n",
    "plt.plot(x, y, label='Ground Truth')\n",
    "plt.scatter(x, y_observed, s=7, color='g', label=\"Observed Ground Truth\")\n",
    "plt.scatter(x, y_pred, s=7, color='r', label='Predicted')\n",
    "plt.plot(x, y_pred, alpha=0.5)\n",
    "plt.title(\"Features Number: 150   R2 Score = {:.2f}\".format(reg.score(data, y)), size=16)\n",
    "plt.legend(fontsize=13)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 使用 Ridge 抑制过拟合"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0ef52381d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data = np.array([x ** i for i in range(1, 150)])\n",
    "data = np.transpose(data, axes=(1,0))\n",
    "reg = Ridge(alpha=0.0001, normalize=True, fit_intercept=True)\n",
    "reg.fit(data, y_observed)\n",
    "y_pred = reg.predict(data)\n",
    "\n",
    "plt.plot(x, y, label='Ground Truth')\n",
    "plt.scatter(x, y_observed, s=7, color='g', label=\"Observed Ground Truth\")\n",
    "plt.scatter(x, y_pred, s=7, color='r', label='Predicted')\n",
    "plt.plot(x, y_pred, alpha=0.5)\n",
    "plt.title(\"Features Number: 150   R2 Score = {:.2f}\".format(reg.score(data, y)), size=16)\n",
    "plt.legend(fontsize=13)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 特征中存在很多无关特征时的拟合效果\n",
    "\n",
    "- 当输入特征中绝大多数都是无关特征时，例如下面的 data 矩阵中，竟然有50个特征都是随机特征，这导致模型的预测严重过拟合。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = np.array([x, x**2, x**3, x**4, x**5, x**6, x**7, x**8])\n",
    "irrelevent = np.array([np.random.rand(len(x)) for i in range(50)])\n",
    "data = np.concatenate((data, irrelevent), axis=0)\n",
    "data = np.transpose(data, axes=(1,0))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0ef5480d10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "reg = LinearRegression(normalize=True, fit_intercept=True)\n",
    "reg.fit(data, y_observed)\n",
    "y_pred = reg.predict(data)\n",
    "\n",
    "plt.plot(x, y, label='Ground Truth')\n",
    "plt.scatter(x, y_observed, s=7, color='g', label=\"Observed Ground Truth\")\n",
    "plt.scatter(x, y_pred, s=7, color='r', label='Predicted')\n",
    "plt.plot(x, y_pred, alpha=0.5)\n",
    "plt.title(\"Features Number: {}  R2 Score = {:.2f}\".format(data.shape[1], reg.score(data, y)), size=16)\n",
    "plt.legend(fontsize=13)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 使用 LASSO 做特征选择，筛掉无关特征\n",
    "\n",
    "- 使用 Lasso Regression 拟合时，可以通过设置超参数 alpha 来惩罚那些较大的特征。\n",
    "- alpha 越大，被置零的特征数量越多，直至所有特征都被置零，这是模型预测的是一个常数值。\n",
    "- 可以通过 `reg.coef_` 访问拟合后模型对各个特征的参数拟合值。\n",
    "- `sum(reg.coef_ != 0)` 可以计算出当前模型参数中非零的参数个数。这是衡量模型复杂度的一个客观标准。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-7.77407875e-01 -4.12314809e-01 -0.00000000e+00 -0.00000000e+00\n",
      "  0.00000000e+00  0.00000000e+00  0.00000000e+00  3.86179132e-06\n",
      " -0.00000000e+00  0.00000000e+00 -0.00000000e+00 -0.00000000e+00\n",
      "  0.00000000e+00  0.00000000e+00 -0.00000000e+00  0.00000000e+00\n",
      "  0.00000000e+00  0.00000000e+00 -0.00000000e+00 -0.00000000e+00\n",
      " -0.00000000e+00 -0.00000000e+00 -0.00000000e+00 -0.00000000e+00\n",
      "  0.00000000e+00  0.00000000e+00 -0.00000000e+00  0.00000000e+00\n",
      " -5.00064469e-01  0.00000000e+00  0.00000000e+00 -0.00000000e+00\n",
      " -1.67408484e-01  4.84111108e-01 -0.00000000e+00  0.00000000e+00\n",
      " -0.00000000e+00  1.90973135e+00 -0.00000000e+00 -0.00000000e+00\n",
      "  1.34905976e-01 -0.00000000e+00  0.00000000e+00  0.00000000e+00\n",
      "  8.38898913e-01 -0.00000000e+00 -2.54907248e-01 -0.00000000e+00\n",
      " -0.00000000e+00  0.00000000e+00  0.00000000e+00 -0.00000000e+00\n",
      "  0.00000000e+00 -0.00000000e+00 -4.44681654e-02  0.00000000e+00\n",
      " -7.50692099e-01  0.00000000e+00]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0f34065c10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-2.30167766 -0.01265639 -0.         -0.         -0.          0.\n",
      "  0.          0.          0.          0.         -0.         -0.\n",
      "  0.          0.         -0.          0.          0.          0.\n",
      " -0.         -0.         -0.         -0.         -0.         -0.\n",
      "  0.          0.          0.          0.         -0.          0.\n",
      "  0.         -0.         -0.          0.         -0.          0.\n",
      " -0.          0.80550652 -0.         -0.          0.         -0.\n",
      "  0.         -0.          0.04286222 -0.         -0.         -0.\n",
      " -0.         -0.          0.         -0.          0.         -0.\n",
      " -0.          0.         -0.26908956  0.        ]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0ef4f593d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-0.75886809 -0.         -0.         -0.         -0.         -0.\n",
      " -0.         -0.          0.          0.         -0.         -0.\n",
      " -0.          0.         -0.         -0.         -0.          0.\n",
      " -0.         -0.         -0.         -0.          0.         -0.\n",
      "  0.         -0.          0.          0.         -0.          0.\n",
      "  0.         -0.         -0.          0.         -0.          0.\n",
      " -0.          0.         -0.         -0.          0.          0.\n",
      " -0.         -0.          0.         -0.         -0.         -0.\n",
      " -0.         -0.          0.         -0.          0.         -0.\n",
      " -0.          0.         -0.          0.        ]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0ef509bb50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "reg = Lasso(alpha=0.06, max_iter=10000, tol=0.00001, normalize=True, fit_intercept=True)\n",
    "reg.fit(data, y_observed)\n",
    "y_pred = reg.predict(data)\n",
    "non_zero_feature = sum(reg.coef_ != 0)\n",
    "print reg.coef_\n",
    "\n",
    "plt.plot(x, y, label='Ground Truth')\n",
    "plt.scatter(x, y_observed, s=7, color='g', label=\"Observed Ground Truth\")\n",
    "plt.scatter(x, y_pred, s=7, color='r', label='Predicted')\n",
    "plt.plot(x, y_pred, alpha=0.5)\n",
    "plt.title(\"Non-Zero Feature Count = {}   R2 Score = {:.2f}\".format(non_zero_feature, reg.score(data, y)), size=16)\n",
    "plt.legend(fontsize=13)\n",
    "plt.show()\n",
    "\n",
    "reg = Lasso(alpha=0.1, max_iter=10000, tol=0.00001, normalize=True, fit_intercept=True)\n",
    "reg.fit(data, y_observed)\n",
    "y_pred = reg.predict(data)\n",
    "non_zero_feature = sum(reg.coef_ != 0)\n",
    "print reg.coef_\n",
    "\n",
    "plt.plot(x, y, label='Ground Truth')\n",
    "plt.scatter(x, y_observed, s=7, color='g', label=\"Observed Ground Truth\")\n",
    "plt.scatter(x, y_pred, s=7, color='r', label='Predicted')\n",
    "plt.plot(x, y_pred, alpha=0.5)\n",
    "plt.title(\"Non-Zero Feature Count = {}   R2 Score = {:.2f}\".format(non_zero_feature, reg.score(data, y)), size=16)\n",
    "plt.legend(fontsize=13)\n",
    "plt.show()\n",
    "\n",
    "reg = Lasso(alpha=0.4, max_iter=10000, tol=0.00001, normalize=True, fit_intercept=True)\n",
    "reg.fit(data, y_observed)\n",
    "y_pred = reg.predict(data)\n",
    "non_zero_feature = sum(reg.coef_ != 0)\n",
    "print reg.coef_\n",
    "\n",
    "plt.plot(x, y, label='Ground Truth')\n",
    "plt.scatter(x, y_observed, s=7, color='g', label=\"Observed Ground Truth\")\n",
    "plt.scatter(x, y_pred, s=7, color='r', label='Predicted')\n",
    "plt.plot(x, y_pred, alpha=0.5)\n",
    "plt.title(\"Non-Zero Feature Count = {}   R2 Score = {:.2f}\".format(non_zero_feature, reg.score(data, y)), size=16)\n",
    "plt.legend(fontsize=13)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
